Solving ordinary differential equations (ODE) with Matlab (dsolve): mass-spring state-space form

Antonio Sala, UPV

Difficulty: ** ,       Relevance: ,      Duration: 10:08

*Enlace a Spanish version

Summary:

This video obtains the free time response to non-equilibrium initial conditions of a mass-spring system, addressing exactly the same second-order problem as the video [masmusym1EN] $Mÿ=-ky-bẏ$ . In this video, however, it is addressed by posing the equations in normalized internal representation $\frac{dx}{dt}=Ax$, with A=[0 1;-k/M -b/M]. The dsolve command does not have any problem with this representation and obviously obtains identical results to that of the referred video. The animation code is detailed in the video [masmuAnimEN].

*Link to my [ whole collection] of videos in English. Link to larger [ Colección completa] in Spanish.